pqc/external/flint-2.4.3/nmod_poly/test/t-exp_series_basecase.c

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2014-05-18 22:03:37 +00:00
/*=============================================================================
This file is part of FLINT.
FLINT is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
FLINT is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with FLINT; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
=============================================================================*/
/******************************************************************************
Copyright (C) 2010 William Hart
Copyright (C) 2011 Fredrik Johansson
******************************************************************************/
#include <stdio.h>
#include <stdlib.h>
#include <gmp.h>
#include "flint.h"
#include "nmod_poly.h"
#include "ulong_extras.h"
int
main(void)
{
int i, result = 1;
FLINT_TEST_INIT(state);
flint_printf("exp_series_basecase....");
fflush(stdout);
/* Check exp(A+B) = exp(A) * exp(B) */
for (i = 0; i < 1000 * flint_test_multiplier(); i++)
{
nmod_poly_t A, B, AB, expA, expB, expAB, S;
slong n;
mp_limb_t mod;
mod = n_randtest_prime(state, 0);
n = n_randtest(state) % 100;
n = FLINT_MIN(n, mod);
nmod_poly_init(A, mod);
nmod_poly_init(B, mod);
nmod_poly_init(AB, mod);
nmod_poly_init(expA, mod);
nmod_poly_init(expB, mod);
nmod_poly_init(expAB, mod);
nmod_poly_init(S, mod);
nmod_poly_randtest(A, state, n_randint(state, 100));
nmod_poly_set_coeff_ui(A, 0, UWORD(0));
nmod_poly_randtest(B, state, n_randint(state, 100));
nmod_poly_set_coeff_ui(B, 0, UWORD(0));
if (n_randlimb(state) % 100 == 0)
{
nmod_poly_zero(A);
nmod_poly_set_coeff_ui(A, n_randlimb(state) % (n+5), \
n_randtest_not_zero(state) % mod);
nmod_poly_set_coeff_ui(A, 0, UWORD(0));
}
nmod_poly_exp_series_basecase(expA, A, n);
nmod_poly_exp_series_basecase(expB, B, n);
nmod_poly_add(AB, A, B);
nmod_poly_exp_series(expAB, AB, n);
nmod_poly_mullow(S, expA, expB, n);
result = nmod_poly_equal(S, expAB);
if (!result)
{
flint_printf("FAIL:\n");
flint_printf("n = %wd, mod = %wu\n", n, mod);
flint_printf("A: "); nmod_poly_print(A), flint_printf("\n\n");
flint_printf("B: "); nmod_poly_print(B), flint_printf("\n\n");
flint_printf("exp(A): "); nmod_poly_print(expA), flint_printf("\n\n");
flint_printf("exp(B): "); nmod_poly_print(expB), flint_printf("\n\n");
flint_printf("exp(A+B): "); nmod_poly_print(expAB), flint_printf("\n\n");
flint_printf("exp(A)*exp(B): "); nmod_poly_print(S), flint_printf("\n\n");
abort();
}
nmod_poly_clear(A);
nmod_poly_clear(B);
nmod_poly_clear(AB);
nmod_poly_clear(expA);
nmod_poly_clear(expB);
nmod_poly_clear(expAB);
nmod_poly_clear(S);
}
/* Check aliasing */
for (i = 0; i < 1000 * flint_test_multiplier(); i++)
{
nmod_poly_t A, B;
slong n;
mp_limb_t mod;
mod = n_randtest_prime(state, 0);
n = n_randtest(state) % 50;
n = FLINT_MIN(n, mod);
nmod_poly_init(A, mod);
nmod_poly_init(B, mod);
nmod_poly_randtest(A, state, n_randint(state, 50));
nmod_poly_set_coeff_ui(A, 0, UWORD(0));
nmod_poly_exp_series_basecase(B, A, n);
nmod_poly_exp_series_basecase(A, A, n);
result = nmod_poly_equal(A, B);
if (!result)
{
flint_printf("FAIL:\n");
nmod_poly_print(A), flint_printf("\n\n");
nmod_poly_print(B), flint_printf("\n\n");
abort();
}
nmod_poly_clear(A);
nmod_poly_clear(B);
}
FLINT_TEST_CLEANUP(state);
flint_printf("PASS\n");
return 0;
}